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Mathematics  2004 

Collars and partitions of hyperbolic cone-surfaces

DOI: 10.1007/s10711-007-9172-6

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Abstract:

For compact Riemann surfaces, the collar theorem and Bers' partition theorem are major tools for working with simple closed geodesics. The main goal of this paper is to prove similar theorems for hyperbolic cone-surfaces. Hyperbolic two-dimensional orbifolds are a particular case of such surfaces. We consider all cone angles to be strictly less than $\pi$ to be able to consider partitions.

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